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Finding the Fourth Proportional to 2,415.36, 3,613.32 and 1,644.24

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Solution

The fourth proportional to 2,415.36, 3,613.32 and 1,644.24 is: 2,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.36 : 3,613.32 = 1,644.24 : x
  2. Step 2: Convert to fraction form
    2,415.36/3,613.32 = 1,644.24/x
  3. Step 3: Cross multiply
    2,415.36x = 3,613.32 × 1,644.24
  4. Step 4: Simplify right side
    2,415.36x = 5,941,165.28
  5. Step 5: Solve for x
    x = 5,941,165.28/2,415.36
  6. Step 6: Final answer
    x = 2,459.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.